44632900225 has 81 divisors (see below), whose sum is σ = 60514668201. Its totient is φ = 32653118400.

The previous prime is 44632900219. The next prime is 44632900253. The reversal of 44632900225 is 52200923644.

The square root of 44632900225 is 211265.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 613503361 + 44019396864 = 24769^2 + 209808^2 .

It is not a de Polignac number, because 44632900225 - 2⁷ = 44632900097 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 949636152 + ... + 949636198.

Almost surely, 2^44632900225 is an apocalyptic number.

44632900225 is the 211265-th square number.

44632900225 is the 105633-rd centered octagonal number.

It is an amenable number.

44632900225 is a deficient number, since it is larger than the sum of its proper divisors (15881767976).

44632900225 is an equidigital number, since it uses as much as digits as its factorization.

44632900225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 44632900225 in words is "forty-four billion, six hundred thirty-two million, nine hundred thousand, two hundred twenty-five".